3 years ago

If A : B = 4 : 5 and B : C = 3 : 2, find A : B : C.

Mathematics

1 answer:

Sindrei [870]3 years ago

6 0

Answer:

12 : 15 : 10

Step-by-step explanation:

Let A = 4x, the B = 5x

Let B = 3y, then C = 2y

B = 5x = 3y, so y = (5/3)x

Let x = 3t, so y = 5t

Then A = 4x = 4(3t) = 12t

B = 5x = 5(3t) = 15t

C = 2y = 2(5t) = 10t

so A : B : C = 12t : 15t : 10t = 12 : 15 : 10

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